On non-basic Rapoport-Zink spaces

DOI10.24033/asens.2079zbMath1236.11101OpenAlexW124722216MaRDI QIDQ3623316

Elena Mantovan

Publication date: 17 April 2009

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/AnnalesENS/4_41/html/ens_ann-sc_41_671-716.html

zbMATH Keywords

Shimura varietiesLanglands correspondences\(p\)-divisible groupsRapoport-Zink spaces

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Rigid analytic geometry (14G22) Langlands-Weil conjectures, nonabelian class field theory (11S37) Formal groups, (p)-divisible groups (14L05)

Related Items (13)

Moduli of local shtukas and Harris's conjecture ⋮ Connected components of affine Deligne–Lusztig varieties in mixed characteristic ⋮ On the Hodge-Newton filtration for \(p\)-divisible groups of Hodge type ⋮ THE COHOMOLOGY OF UNRAMIFIED RAPOPORT–ZINK SPACES OF EL-TYPE AND HARRIS’S CONJECTURE ⋮ A PEL case of the Kottwitz conjecture ⋮ Fargues-Rapoport conjecture for \(p\)-adic period domains in the non-basic case ⋮ The Kottwitz conjecture for unitary PEL-type Rapoport-Zink spaces ⋮ The geometry of Newton strata in the reduction modulo \(p\) of Shimura varieties of PEL type ⋮ Galois representations arising from some compact Shimura varieties ⋮ Cell decomposition of some unitary group Rapoport-Zink spaces ⋮ Fully Hodge-Newton decomposable Shimura varieties ⋮ On the Hodge-Newton filtration for \(p\)-divisible \({\mathcal{O}}\)-modules ⋮ Hodge-Newton filtration for \(p\)-divisible groups with ramified endomorphism structure

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